Pub Date : 2023-11-30DOI: 10.2989/16073606.2023.2274586
Hua Wang, Jingsong Wu
We present the representation of solution sets of the operator equation XAX = BX on Hilbert spaces by taking advantage of the invariant subspace of B, including solution sets of nonzero solutions, ...
{"title":"The solution set to the nonlinear operator equation XAX = BX on Hilbert spaces","authors":"Hua Wang, Jingsong Wu","doi":"10.2989/16073606.2023.2274586","DOIUrl":"https://doi.org/10.2989/16073606.2023.2274586","url":null,"abstract":"We present the representation of solution sets of the operator equation XAX = BX on Hilbert spaces by taking advantage of the invariant subspace of B, including solution sets of nonzero solutions, ...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"10 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138536628","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-11-30DOI: 10.2989/16073606.2023.2274605
Sorin G. Gal
In this paper we obtain extension properties for monotone sublinear operators. The results obtained generalize those known for positive linear operators. Several examples illustrating the results o...
本文得到了单调次线性算子的可拓性质。所得结果推广了已知的正线性算子。举几个例子说明……的结果。
{"title":"Extension properties for monotone sublinear operators","authors":"Sorin G. Gal","doi":"10.2989/16073606.2023.2274605","DOIUrl":"https://doi.org/10.2989/16073606.2023.2274605","url":null,"abstract":"In this paper we obtain extension properties for monotone sublinear operators. The results obtained generalize those known for positive linear operators. Several examples illustrating the results o...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"84 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138536631","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-11-30DOI: 10.2989/16073606.2023.2274580
Saeid Alikhani, Mohammad H. Shekarriz
A vertex coloring is called distinguishing if the identity is the only automorphism that can preserve it. The distinguishing threshold θ(G) of a graph G is the minimum number of colors k required t...
{"title":"The number of distinguishing colorings of a Cartesian product graph","authors":"Saeid Alikhani, Mohammad H. Shekarriz","doi":"10.2989/16073606.2023.2274580","DOIUrl":"https://doi.org/10.2989/16073606.2023.2274580","url":null,"abstract":"A vertex coloring is called distinguishing if the identity is the only automorphism that can preserve it. The distinguishing threshold θ(G) of a graph G is the minimum number of colors k required t...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"8 6 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138536639","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-11-30DOI: 10.2989/16073606.2023.2280249
A.S. Farajov, M.J. Huntul, Yashar T. Mehraliyev
The work is devoted to the study of the solvability of the inverse boundary value problem with an unknown time depended coefficient for a sixth-order Boussinesq equation with an additional integral...
本文研究了带附加积分的六阶Boussinesq方程的未知时变系数反边值问题的可解性。
{"title":"Inverse problem of determining the coefficient in a sixth order Boussinesq equation with additional nonlocal integral condition","authors":"A.S. Farajov, M.J. Huntul, Yashar T. Mehraliyev","doi":"10.2989/16073606.2023.2280249","DOIUrl":"https://doi.org/10.2989/16073606.2023.2280249","url":null,"abstract":"The work is devoted to the study of the solvability of the inverse boundary value problem with an unknown time depended coefficient for a sixth-order Boussinesq equation with an additional integral...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"25 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138536621","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-11-30DOI: 10.2989/16073606.2023.2278078
Jitender Kumar, Ramesh Prasad Panda, Parveen
The power graph of a finite group G is the simple undirected graph with vertex set G whose two vertices are adjacent if one is a power of the other. The enhanced power graph of a finite group G is ...
{"title":"On the difference graph of power graphs of finite groups","authors":"Jitender Kumar, Ramesh Prasad Panda, Parveen","doi":"10.2989/16073606.2023.2278078","DOIUrl":"https://doi.org/10.2989/16073606.2023.2278078","url":null,"abstract":"The power graph of a finite group G is the simple undirected graph with vertex set G whose two vertices are adjacent if one is a power of the other. The enhanced power graph of a finite group G is ...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"199 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138536629","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-11-30DOI: 10.2989/16073606.2023.2279275
Nak Eun Cho, Inhwa Kim, H.M. Srivastava
The object of the present paper is to derive some argument properties associated with meromorphic close-to-starlike and Bazilević functions in the punctured open unit disk. Furthermore, we investig...
{"title":"Argument estimates associated with meromorphic close-to-starlike and Bazilević functions","authors":"Nak Eun Cho, Inhwa Kim, H.M. Srivastava","doi":"10.2989/16073606.2023.2279275","DOIUrl":"https://doi.org/10.2989/16073606.2023.2279275","url":null,"abstract":"The object of the present paper is to derive some argument properties associated with meromorphic close-to-starlike and Bazilević functions in the punctured open unit disk. Furthermore, we investig...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"15 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138536637","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-11-30DOI: 10.2989/16073606.2023.2279698
Gary Gruenhage, Vladimir V. Tkachuk
Using binary function spaces, we give an example of a pseudocompact discretely selective topological group. We show that, under PFA, every compact space of countable tightness has a countable disjo...
{"title":"Discrete selectivity, shrinking properties, and disjoint local π-bases","authors":"Gary Gruenhage, Vladimir V. Tkachuk","doi":"10.2989/16073606.2023.2279698","DOIUrl":"https://doi.org/10.2989/16073606.2023.2279698","url":null,"abstract":"Using binary function spaces, we give an example of a pseudocompact discretely selective topological group. We show that, under PFA, every compact space of countable tightness has a countable disjo...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"24 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138536638","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-11-30DOI: 10.2989/16073606.2023.2274585
Jinlu Li, Jiancai Sun
In this paper, the super-skewsymmetric super-biderivations on the N = 1 super Heisenberg-Virasoro algebra are completely determined. Furthermore, we find that every super-skewsymmetric super-bideri...
{"title":"Super-skewsymmetric super-biderivations on the N = 1 super Heisenberg-Virasoro algebra","authors":"Jinlu Li, Jiancai Sun","doi":"10.2989/16073606.2023.2274585","DOIUrl":"https://doi.org/10.2989/16073606.2023.2274585","url":null,"abstract":"In this paper, the super-skewsymmetric super-biderivations on the N = 1 super Heisenberg-Virasoro algebra are completely determined. Furthermore, we find that every super-skewsymmetric super-bideri...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"31 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138536641","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-11-30DOI: 10.2989/16073606.2023.2278744
Mingzhao Chen, Hwankoo Kim, Wei Qi, Fanggui Wang, Wei Zhao
Let R be a ring and S be a multiplicative subset of R. Then R is called a uniformly S-Noetherian ring if there exists s ∈ S such that, for any ideal I of R, sI ⊆ K for some finitely generated subid...
{"title":"Uniformly S-Noetherian rings","authors":"Mingzhao Chen, Hwankoo Kim, Wei Qi, Fanggui Wang, Wei Zhao","doi":"10.2989/16073606.2023.2278744","DOIUrl":"https://doi.org/10.2989/16073606.2023.2278744","url":null,"abstract":"Let R be a ring and S be a multiplicative subset of R. Then R is called a uniformly S-Noetherian ring if there exists s ∈ S such that, for any ideal I of R, sI ⊆ K for some finitely generated subid...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"20 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138536632","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-11-30DOI: 10.2989/16073606.2023.2281554
Zhonghua Li, Lu Yan
In this paper, we study the generating functions of multiple t-star values with an arbitrary number of blocks of twos, which are based on the results of the corresponding generating functions of mu...
本文研究了任意数目的两个块的多个t-星值的生成函数，这些函数是基于mu的相应的生成函数的结果。
{"title":"Generating functions of multiple t-star values","authors":"Zhonghua Li, Lu Yan","doi":"10.2989/16073606.2023.2281554","DOIUrl":"https://doi.org/10.2989/16073606.2023.2281554","url":null,"abstract":"In this paper, we study the generating functions of multiple t-star values with an arbitrary number of blocks of twos, which are based on the results of the corresponding generating functions of mu...","PeriodicalId":49652,"journal":{"name":"Quaestiones Mathematicae","volume":"53 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138536636","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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